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9 July 2003Abnormal propagation and interface refraction of light in a photonic crystal and their applications
We analyze the abnormal refraction and propagation when a light
beam of finite and practical width enters a photonic crystal from a
uniform medium. The beam propagation in the photonic crystal is
very complex, and in many cases, is beyond the realm of refraction
(even with a renormalized refractive index given by photonic band
calculation). Generally, light propagation is restricted to a
triangular region (or a fan), although the light may not fill the
whole triangle, nor is the light intensity uniform in the triangle. It is found beam divergence does not have a definite connection with
the fan shape of the region of light propagation, in contrast to
dynamic X-ray theory. A new origin of the fan shape is suggested.
Also simulations indicate that at microscale, a narrow light beam
may zigzag in a photonic crystal with sufficiently high index contrast. An application of this phenomenon is to make a wide angle bend for waveguides. The designed bending structure has low loss and matches the mode size of a typical single-mode waveguide for fiber-optic communications. Our simulations are based on two-dimensional photonic crystals.
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Wei Jiang, Chuhua Tian, Linghui Wu, Yihong Chen, Ray T. Chen, "Abnormal propagation and interface refraction of light in a photonic crystal and their applications," Proc. SPIE 5000, Photonic Crystal Materials and Devices, (9 July 2003); https://doi.org/10.1117/12.479511